816957144001 has 4 divisors (see below), whose sum is σ = 817176347392. Its totient is φ = 816737940612.

The previous prime is 816957143987. The next prime is 816957144071. The reversal of 816957144001 is 100441759618.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 100441759618 = 2 ⋅50220879809.

It is a cyclic number.

It is not a de Polignac number, because 816957144001 - 2¹⁷ = 816957012929 is a prime.

It is a super-3 number, since 3×816957144001³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (816957144071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 109596105 + ... + 109603558.

It is an arithmetic number, because the mean of its divisors is an integer number (204294086848).

Almost surely, 2^816957144001 is an apocalyptic number.

It is an amenable number.

816957144001 is a deficient number, since it is larger than the sum of its proper divisors (219203391).

816957144001 is a wasteful number, since it uses less digits than its factorization.

816957144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219203390.

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 816957144001 in words is "eight hundred sixteen billion, nine hundred fifty-seven million, one hundred forty-four thousand, one".